Tootfinder

🥱 Study shows that social interaction boosts emotional vitality—but leads to delayed fatigue
https://phys.org/news/2025-07-social-interaction-boosts-emotional-vitality.html

Study shows that social interaction boosts emotional vitality—but leads to delayed fatigue
Social contact can lift our mood but later leave us drained. A new study has tracked this full emotional sequence in everyday life. Researchers found that being around others boosts emotional energy at the moment, yet contributes to rising fatigue a few hours later.

On some Fr\'echet spaces associated to the functions satisfying Mulholland inequality
Lav Kumar Singh, Aljosa Peperko
https://arxiv.org/abs/2507.01661 …

On some Fréchet spaces associated to the functions satisfying Mulholland inequality
In this article we explore a new growth condition on Young functions, which we call Mulholland condition, pertaining to the mathematician H.P Mulholland, who studied these functions for the first time, albeit in a different context. We construct a non-trivial Young function $Ω$ which satisfies Mulholland condition and $Δ_2$-condition. We then associate exotic $F$-norms to the vector space $X_1\oplus X_2$, where $X_1$ and $X_2$ are Banach spaces, using the function $Ω$. This $F$-spaces contai…